CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Magnetic impurity in hybrid and type-II nodal line semimetals |
Xiao-Rong Yang(杨晓容), Zhen-Zhen Huang(黄真真), Wan-Sheng Wang(王万胜), and Jin-Hua Sun(孙金华)† |
Department of Physics, Ningbo University, Ningbo 315211, China |
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Abstract We study the Kondo screening of a spin-1/2 magnetic impurity in the hybrid nodal line semimetals (NLSMs) and the type-II NLSMs by using the variational method. We mainly study the binding energy and the spin-spin correlation between magnetic impurity and conduction electrons. We find that in both the hybrid and type-II cases, the density of states (DOS) is always finite, so the impurity and the conduction electrons always form bound states, and the bound state is more easily formed when the DOS is large. Meanwhile, due to the unique dispersion relation and the spin-orbit couplings in the NLSMs, the spatial spin-spin correlation components show very interesting features. Most saliently, various components of the spatial spin-spin correlation function decay with 1/r2 in the hybrid NLSMs, while they follow 1/r3 decay in the type-II NLSMs. This property is mainly caused by the special band structures in the NLSMs, and it can work as a fingerprint to distinguish the two types of NLSMs.
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Received: 25 March 2021
Revised: 15 April 2021
Accepted manuscript online: 21 April 2021
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PACS:
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71.20.Be
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(Transition metals and alloys)
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75.20.Hr
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(Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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71.27.+a
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(Strongly correlated electron systems; heavy fermions)
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Fund: Project supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LY19A040003). |
Corresponding Authors:
Jin-Hua Sun
E-mail: sunjinhua@nbu.edu.cn
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Cite this article:
Xiao-Rong Yang(杨晓容), Zhen-Zhen Huang(黄真真), Wan-Sheng Wang(王万胜), and Jin-Hua Sun(孙金华) Magnetic impurity in hybrid and type-II nodal line semimetals 2021 Chin. Phys. B 30 067103
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[1] Armitage N P, Mele E J and Vishwanath A 2018 Rev. Mod. Phys. 90 015001 [2] Bernevig A, Weng H M, Fang Z and Dai X 2018 J. Phys. Soc. Jpn. 87 041001 [3] Fang C, Chen Y G, Kee H Y and Fu L 2015 Phys. Rev. B 92 081201 [4] Fang C, Weng H M, Dai X and Fang Z 2016 Chin. Phys. B 25 117106 [5] Yu R, Fang Z, Dai X and Weng H M 2017 Front. Phys. 12 127202 [6] Hu J, Xu S Y, Ni N and Mao Z Q 2019 Annu. Revi. Mater. Res. 49 207-252 [7] Heikkilä T T and Volovik G E 2011 JETP Lett. 93 59 [8] Burkov A A, Hook M D and Balents L 2011 Phys. Rev. B 84 235126 [9] Teo J C Y, Schnyder A P and Ryu S 2016 Rev. Mod. Phys. 88 035005 [10] Chan Y H, Chiu C K, Chou M Y and Schnyder A P 2016 Phys. Rev. B 93 205132 [11] Chiu C K and Schnyder A P 2014 Phys. Rev. B 90 205136 [12] Ali M N, Gibson Q D, Klimczuk T and Cava R J 2014 Phys. Rev. B 89 020505 [13] Xie L S, Schoop L M, Seibel E M, Gibson Q D, Xie W W and Cava R J 2015 APL Mater. 3 083602 [14] Kim Y, Wieder B J, Kane C L and Rappe A M 2015 Phys. Rev. Lett. 115 036806 [15] Yu R, Weng H M, Fang Z, Dai X and Hu X 2015 Phys. Rev. Lett. 115 036807 [16] Bian G, Chang T R, Zheng H, et al. 2016 Phys. Rev. B 93 121113 [17] Weng H M, Dai X and Fang Z 2016 J. Phys.: Condens. Matter 28 303001 [18] Huang H Q, Liu J P, David V and Duan W H 2016 Phys. Rev. B 93 201114 [19] Mullen K, Uchoa B and Glatzhofer D T 2015 Phys. Rev. Lett. 115 026403 [20] Bian G, Chang T R, Sankar R, et al. 2016 Nat. Commun. 7 10556 [21] Schoop L M, Ali M N, Straßer C, et al. 2016 Nat. Commun. 7 11696 [22] Neupane M, Belopolski I, Hosen M M, et al. 2016 Phys. Rev. B 93 201104 [23] Wu Y, Wang L L, Mun E, et al. 2016 Nat. Phys. 12 667 [24] Hu J, Tang Z J, Liu J Y, et al. 2016 Phys. Rev. Lett. 117 016602 [25] Takane D, Wang Z W, Souma S, Nakayama K, Trang C X, Sato T, Takahashi T and Ando Y 2016 Phys. Rev. B 94 121108 [26] He J, Kong X, Wang W and Kou S P 2018 New J. Phys. 20 053019 [27] Chang T Y, Pletikosic I, Kong T, et al. 2019 Adv. Sci. 6 1800897 [28] Wang X T, Cheng Z X, Zhang G, et al. 2020 Phys. Chem. Chem. Phys. 22 13650 [29] Kondo J 1964 Prog. Theor. Phys. 32 37 [30] Gonzalez-Buxton C and Ingersent K 1998 Phys. Rev. B 57 14254 [31] Fritz L and Vojta M 2004 Phys. Rev. B 70 214427 [32] Vojta M and Fritz L 2004 Phys. Rev. B 70 094502 [33] Sun J H, Wang L J, Hu X T, Li L and Xu D H 2018 Phys. Rev. B 97 035130 [34] Wang L J, Hu X T, Li L, Xu D H, Sun J H and Chen W Q 2019 Phys. Rev. B 99 235108 [35] Gunnarsson O and Schönhammer K 1983 Phys. Rev. Lett. 50 604 [36] Varma C M and Yafet Y 1976 Phys. Rev. B 13 2950 [37] Aji V, Varma C M and Vekhter I 2008 Phys. Rev. B 77 224426 [38] Feng X Y, Chen W Q, Gao J H, Wang Q H and Zhang F C 2010 Phys. Rev. B 81 235411 [39] Sun J H, Xu D H, Zhang F C and Zhou Y 2015 Phys. Rev. B 92 195124 [40] Deng Y H, Lü H F, Ke S S, Guo Y and Zhang H W 2018 J. Phys.: Condens. Matter 30 435602 [41] Lü H F, Deng Y H, Ke S S, Guo Y and Zhang H W 2019 Phys. Rev. B 99 115109 [42] Ma D, Chen H, Liu H W and Xie X C 2018 Phys. Rev. B 97 045148 [43] Chen R, Zhou B and Xu D H 2018 Phys. Rev. B 97 155152 [44] Chan C K, Oh Y T, Han J H and Lee P A 2016 Phys. Rev. B 94 121106 [45] Yan Z B and Wang Z 2016 Phys. Rev. Lett. 117 087402 [46] Jiang J H and Wu S 2011 Phys. Rev. B 83 205124 [47] Deng K, Wan G L, Deng P, et al. 2016 Nat. Phys. 12 1105 [48] Ishii H 1978 J. Low Temp. Phys. 32 457 [49] Barzykin V and Affleck I 1998 Phys. Rev. B 57 432 |
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